define the semantics (inference rule) of the if statement: {p} if (e) s1 else s2 {q}. hint: one way to prove it is to do a case analysis. if e is true, the whole statement is equivalent to what? if e is false, the whole statement is what? formulate it as an inference rule.
Answers
The inference rule is ({E and P} S1 {Q},{ not E and P} S2 {Q})/({P}if E then S1 else S2{Q}).
In the given question, we have to define the semantics (inference rule) of the if statement: {P} if (E) S1 else S2 {Q}.
A way of inferring the veracity of one assertion based on the significance of other assertions is known as an inference rule.
(S1, S2, ........, Sn)/S
According to the rule, if S1, S2,..., and Sn are real, then S's validity can be derived.
Given,
{P} if (E) S1 else S2 {Q}
The inference rule is
We know that if if E and P are true then it is S1 with postcondition {Q} or if E and P is false then it is else part that is S2 with postcondition {Q}
i.e. {E and P} S1 {Q},{not E and P} S2 {Q}
So the inference rule is:
({E and P} S1 {Q},{ not E and P} S2 {Q})/({P}if E then S1 else S2{Q})
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Related Questions
Rick measured the town library and made a scale drawing. The scale he used was 7 millimeters : 3 meters. The parking lot is 91 millimeters wide in the drawing. How wide is the actual parking lot?
Answers
Using the scale of 7 millimeters : 3 meters as used by Rick the actual parking lot is 39 meters wide
How to get the the actual parking lotScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
solving for the width of the actual parking
7 millimeters = 0.007 meters
91 millimeters = 0.091 meters
0.007 = 3
0.091 = ?
cross multiplying
0.007 * ? = 3 * 0.091
? = 0.273/0.007
? = 39 meters
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Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error
Answers
Mrs. Rowan's , percent error is 40% .
In the question ,
it is given that ,
the time allotted by Mrs. Rowan to complete the exam = 30 minutes
the time that the last student took to complete the exam = 42 minutes
the percent error can be calculated using the formula
percent error = (time student take - time allotted) / (time allotted) × 100
Substituting the values of allotted time and time taken by the student from above , we get
percent error = (42 - 30)/30 × 100
= 12/30 × 100
= 0.4 × 100
= 40%
Therefore , Mrs. Rowan's percent error is 40% .
The given question is incomplete , the complete question is
Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error ?
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PLEASE HELP!
Jason decided to begin a workout program. He wants to start running three times a week. At the beginning of the workout program, his weekly average per run is 1 mi. He increases his weekly average per run by 17% each week, according to an exponential growth model.
Jason makes a sketch of the graph for this situation. He plots the point containing the y-intercept, (0,1) . He then plots the point representing the weekly average per run for Week 7 and rounds the coordinates of the point to the nearest tenth.
What are the coordinates of the point that represents the weekly average per run for Week 7?
Answers
Answer: I think it (7,4.1)
Step-by-step explanation:
Answer:
7.3.0
Step-by-step explanation:
11 times the product of 19 and a number g?
Answers
11 times the product of 19 and a number g?
11*(19g)
= 209g
Relative maxima and relative minima of the function f(x) = x^5 - 4x^3 3x^2 - 8x - 6
Answers
The relative maxima and relative minima for f(x) = x⁵ - 4x³ + 3x² - 8x - 6 is is -1.871 and 1.518
The given function is f(x) = x⁵ - 4x³ + 3x² - 8x - 6 ,now differentiation function with respect to x we get
=5x⁴ - 12x² + 6x - 8
Now solving the given equation for the critical values are:
x₁ = 0.176 + 0.73i
x₂ = 0.176 - 0.73i
x₃ = 1.518
x₄ = -1.871
Now, taking derivative of the 5x⁴ - 12x² + 6x - 8 , with respect to x we get
= 20x³ - 24x + 6
now replacing the value of x by 1.58, we get
20 * 1.58³ - 24 * 1.58 + 6
= 46.966, which is positive so it is the minima
Again replacing the value of x by -1.871, we get
=>20 * -1.871³ - 24 * -1.871 + 6
=> -169.9, which is negative so it is the maxima
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3 subtracted form a number equals to -8
Answers
-5-3=-8
If you subtract 3 from -5 you get -8.
You had $50 you spent 10% of the money on clothe, 20% on games, and the rest on books. How much money was spent on books
Answers
Answer:
$35
Step-by-step explanation:
money on clothes is 10%, that means it's $5
you get this by dividing the 50 by 100 to figure out how much 1% is, and then multiply with 10.
money on games is 20%, that means it's $10
again, you figure out how much 1% of 50 is and then multiply by 20 to figure out what 20% is.
50 / 100 = 0.5
0.5 * 20 = 10
So far you spent $5 on clothes, $10 on games, that's $15 in total.
When the rest is spent on books, you need to see how much is left of the $50.
50 - 15 = 35
So you spent $35 on books.
y=x2-14x+1
y=-14x+17
Answers
Answer:
y-y=x2-14x+14x+1-17
x2-16=0
x2=16
x=4
Calculate
70
cos 20°
rounded to 1 d.p.
70
cos 20 is a faction btw
Answers
70 Cos 20° rounded up to 1d.p is 65.8 and as a fraction is 658/10.
What is a fraction?
This refers to the value that is part of a whole number. It has a numerator (upper part) and a denominator (lower part) eg.1/2.
What is Decimal point?
This refers to a dot that is used to demarcate a whole number from the fractional part of a number. eg. 12.6.
The number of points/ values after the decimal point is called the decimal place. Example: 3.7 ( 1 decimal place), 4.26 ( 2 decimal places).
From the question:
Calculate 70cos 20° rounded to 1 d.p.
=70 * 0.9397
=65.78
rounded to 1 d.p.
=65.8
As fraction:
65.8 =65.8/10
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Question 3 of 5
What is the fractional equivalent of the repeating decimal 0.5?
A- 5/99
B- 5/9
C-5/11
D-1/2
Answers
Answer: A. 5/99
Step-by-step explanation: This is bc it is repeating and 5 is an odd number.
If given that the area of a square is 121 cm², find the length of one side of the square.
A 30.25 cm
B 11 cm
C 60.5 cm
D 10 cm
Answers
: so area of square is side*side so
lets suppose side is “s”
so s*s=121 so we get s=11
I need help with this one PLEASE
Answers
Answer: x = 14
Step-by-step explanation: Because these are vertical angles we know they are equal.
5x-10 = 60
Add 10 on both sides
5x = 70
Divide by 5 on both sides
x = 14
Solve the following system of equations by linear combination: 2x + y = 8 x – y = 4
a. The solution is (5, –2).
b. The solution is (4, 0).
c. There is no solution.
d. There are an infinite number of solutions.
Answers
The solution to the equation by linear combination is (b) The solution is (4, 0).
How to determine the solution to the equation?From the question, we have the following system of equations
2x + y = 8
x – y = 4
By linear combination, we start by eliminating one of the variables
This is done by adding the equations
So, we have
2x + x - y + y = 8 + 4
Evaluate the like terms
3x = 12
Divide both sides
x = 4
Substitute x = 4 in x – y = 4
4 – y = 4
So, we have
y = 4 - 4
Divide
y = 0
Hence, the solution is (b) (4, 0)
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Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.
Answers
Answer:
None
Explanation:
A unique triangle can be defined as a triangle that can be formed in one way.
The various conditions that a triangle must satisfy so that it is unique :
a) A triangle where the length of the three sides is known or given is a unique triangle.
b) A triangle where two side lengths and their included angle is given is a unique triangle.
c) A triangle where two angles and their included side is given is a unique triangle.
d) A triangle where two angles and a non - included side length is known is a unique triangle.
In the above question, we are given angles 40°, 40° and 100 degrees
3 angles are known, no side length is given. The angles above can form a triangle called the obtuse triangle because their sum = 180° and one of the angles is great we than 90°
However, this does not satisfy the criteria that makes a triangle unique.
Therefore, no unique triangle(s) can be drawn with interior angles measuring 40°, 40°, and 100°.
After 2/3 of a minute a turtle has moved just 3/7 of a foot. What is the turtle's speed in
feet per minute?
Answers
Solve for z.
z + 1 is greater than it equal to 29
Answers
The solution of the inequality z + 1 ≥ 29 for z , is z ≥ 28 .
Inequality can be defined as a relationship between two expressions or values that are not equal to each other.
For Example : x > 3.
In the question ,
it is given that
the inequality is " z + 1 is greater than it equal to 29 ",
we have to solve this inequality for z ,
So inequality can be rewritten as
z + 1 ≥ 29
Subtracting 1 from both sides of the inequality , we get
z + 1 -1 ≥ 29 - 1
z ≥ 29 - 1
z ≥ 28 .
Therefore , The solution for z + 1 ≥ 29 , is z ≥ 28 .
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Pls list step by step : calculus : Use a linear approximation to estimate the value of √33. Express your answer as an exact rational number
Answers
Using linear approximation, the function y = √33 is approximated as 5.744
Linear ApproximationThe concept behind the linear approximation formula is the equation of a tangent line. We know that the slope of the tangent that is drawn to a curve y = f(x) at x = a is its derivative at that point. i.e., the slope of the tangent line is f'(a). Thus, the linear approximation formula is an application of derivatives. Let us learn more about this formula in the upcoming sections.
In equation y = √33
We can apply linear approximation to this
y = √33 = 5.744
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isosceles&equilateral triangles
Answers
Answer:
Step-by-step explanation:
A line with a slope of
4/7 passes through the points (h,10) and (–4,6). What is the value of h?
Answers
Answer:
h = 3
Step-by-step explanation:
y-6 = 4/7 (x-(-4)
y - 6 = 4/7 (x+4)
y - 6 = 4/7 x + 16/7
y = 4/7 x + 16/7 + 6
y = 4/7 x + (16+42)/7
y = 4/7 x + 58/7
10 = 4/7 x + 58/7
4/7 x = 10 - 58/7
4/7 x = (70-58)/7
4/7 x = 12/7
7/4 * 4/7 x = 12/7 * 7/4
x = 3
A $500 investment in a 12-month CD with an interest rate of 4.89% compounded monthly, earns $25.01 interest in
one year. What effective rate of interest does this investment earn?
Answers
Answer:
Step-by-step explanation:
Effective interest rate, r = [tex](1+\frac{i}{n} )^{n}-1[/tex]
Here,
r = effective annual rate
i = nominal rate
n = number of periods
r = [tex](1+\frac{0.0489}{12} )^{12}-1[/tex]
= 0.05001099558
= 5.001099558 %
Is 1 a triangle number?.
Answers
The numbers form a triangular pattern, but the pattern starts at 1, so 1 is a triangular number.
What is area of triangle?The area of a triangle is defined as the total space occupied by the three sides of the triangle in a two-dimensional plane.The basic formula for the area of a triangle is half the product of the base and the height, or A = 1/2 × w × h.This formula applies to all types of triangles, including scalene, isosceles, and equilateral triangles. Recall that the base and height of a triangle are perpendicular to each other.The area of a triangle is the area enclosed by the sides of the triangle.The area of a triangle varies from triangle to triangle depending on the length of the sides and the interior angles. The area of a triangle is expressed in square units. B. m2, cm2, in2, etc.Hence, The numbers form a triangular pattern, but the pattern starts at 1, so 1 is a triangular number.
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five fair coins are tossed. what is the probability that five tails will show? express your answer as a common fraction.
Answers
The probability that five tails will show is 1/32.
Given that the 5 coins are tossed. The probability of getting the head or the tails is 1/2 for each toss.
This means, total number of observations = 2⁵ = 32.
Required outcome is → 5 Heads {H,H,H,H,H}
This can occur only ONCE! when all the coins show the heads.
Thus, required outcome = 1
so, the Probability (5 Heads) = 1/32.
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Between which two consecutive whole numbers does the length of the diagonal fall?
Which whole number is it closer to? Use the drop-down menus to show your answer.
Please I need help!!!!!
Answers
The length of diagonal falls between 4 and 5.
Given,
Length of diagonal = [tex]\sqrt{18}[/tex]
= 4.24
which is between whole numbers 4 and 5 and closer to 4.
Hence, The length of diagonal falls between 4 and 5 and closer to 4.
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QUICK PLEASE HeLP ASAP MATH HW
Answers
Answer:
1. B
2. D
3. A
4. B
5. A
6. C
7. B
8. D
9. B
10. A
Step-by-step explanation:
Shane bought a mid-level computer 10 years ago for $3800. Yesterday, Shane bought a mid-level computer for $1400.
What was the approximate percent of decrease in the cost of mid-level computers?
Answers
The percent of decrease is 63.16%
How to calculate the percentage of decrease?
First, we calculate the amount of decrease
= $3,800 - $1,400
= $2,400
Next we dividing the amount of decrease by original price (old price)
= $2,400 ÷ $3,800
= 0.6316
And then convert the result into a percentage by multiplying by 100%
= 0.6316 × 100%
= 63.16%
Thus, the percent of decrease is 63.16%
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What is the greatest common factor of 306², 806², and 206³?
Answers
Answer:
4Step-by-step explanation:
Find the prime factors of each number:
206 = 2*103 ⇒ 206² = 2²*103²306 = 2*3²*17 ⇒ 306² = 2²*3⁴*17²806 = 2*13*31 ⇒ 806² = 2²*13²*31²The greatest common factor of the three numbers is:
2² = 4based on the picture, would man a or man b have more gravity?
subject is science but it not there
Answers
Answer: what picture
Step-by-step explanation:
Write the decimal as a fraction or mixed number form.
6.35
A. 6 1/5
B. 6 3/10
C. 6 7/20
D. 6 7/25
Answers
Answer:
B.
Step-by-step explanation:
635/100 = 127/20
=>6 3/10
PLEASE HELP 34 pointsssss
Answers
Answer:f(-10)= -60
Step-by-step explanation:
Answer:
f(- 10) = - 300
Step-by-step explanation:
substitute x = - 10 into f(x) , that is
f(- 10) = - 3(- 10)² = - 3(100) = - 300
Kristen is mixing sweet tea and lemonade to make her favorite beverage. She mixes 24 fluid ounces of sweet tea with 18 fluid ounces of lemonade. How many liters of the beverage did she mix? Round to the nearest hundredth.
Answers
Answer: The answer should be 1.24.
Step-by-step explanation:
1.24209 rounded to the nearest hunredth is 1.24.
Answer:
1.24
Step-by-step explanation:
there are 33.814 fluid ounces in one liter. But she mixes 24 + 18 = 42 fluid ounces which is 1.24209 liters rounded to the nearest hundredth is 1.24
